Uniform boundedness and compactness for the commutator of an extension of Riesz transform on stratified Lie groups

Let G{\mathcal{G}} be a stratified Lie group, and let {Xj}1≤j≤n1{\left\{{X}_{j}\right\}}_{1\le j\le {n}_{1}} be a basis of the left-invariant vector fields of degree one on G{\mathcal{G}} and Δ=−∑j=1n1Xj2\Delta =-{\sum }_{j=1}^{{n}_{1}}{X}_{j}^{2} be the sub-Laplacian of G{\mathcal{G}}. Given that 0...

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Bibliographic Details
Main Authors: Han Xueting, Chen Yanping
Format: Article
Language:English
Published: De Gruyter 2025-07-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2025-0092
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